Hi y’all, me again. Can you help me on this? I got some answers, and I hope they are all right. Please let me know! Thanks! :)
1.2(y + 1) for y = 2
A. 6
B. 5
C. 7
D. 8
Is it “A”?
2. The cost in dollars of a school banquet is 74 + 12n, where n is the number of people attending. What is the cost for 52 people?
A. $550
B. $698
C. $624
D. $138
Is it “B”?
3. Write a word phrase for p / 3.
A. a number plus 3
B. the product of a number and 3
C. the quotient of a number and 3
D. a number decreased by 3
Is it “C”?
4. A basketball player scores 10 points per game. Write an algebraic expression to show how many points she might score in n games.
A. 10n
B. 10 + n
C. 10 / n
D. n – 10
Is it “C”?
5. x – 16 = 14
A. 30
B. 2
C. -2
D. -30
Is it “A”?
6. Jake scored about twice as many points as Willie. Jake scored 22 points. Write an equation and use it to estimate the number n of points Willie scored.
A. n + 2 = 22; about 20 points
B. n – 2 = 22; about 24 points
C. 2n = 22; about 11 points
D. n / 2 = 22; about 44 points
Is it “C”?
7.-13x = -78
A. 6
B.-6
C. 1,014
D. -1,014
Is it “A”?
8. r/7 = -8
A. -56
B. -7/8
C. -1/56
D. 7
Is it “A”?
9. Kenny owned so many baseball cards that he sold 82 of them. After selling the cards, he still had 159 left. Write and solve an equation to find the number of baseball cards b Kenny had originally.
A. b + 85 = 159; 77 cards
B. b – 82 = 159; 241 cards
C. b + 159 = 82; 241 cards
D. b + 159 = 82; 77 cards
Is it “C”?
10.3 x + 14 = 23
A. 3
B. 6
C. 9
D. 4
Is it “A”?
11. Find a solution to the inequality x > 4.
A. 8
B. 3
C. 4
D. 0
Is it “A”?
12. Write an inequality to model the situation: The number n of people who attended the game was at least 50.
A. n (underlined >) 50
B. n (underlined <) 50
C. n > 50
D. n < 50
13. x + 18 (underlined <) -3
A. x (underlined <) -21
B. x (underlined <) 21
C. x (underlined <) -15
D. x (underlined <) 15
Is it “A”?
14.4z > -60
A. z > 15
B. z > -15
C. z < 15
D. z < -15
Is it “D”?
15. Your class collected more than 380 cans of food in two weeks for the annual food drive. In the first week, 145 cans were collected. How many cans c of food were collected in the second week? Write and solve and inequality.
A. 145 + c < 380; c < 235
B. c + 145 > 380; c > 525
C. c – 145 (underlined >) 380; c (underlined >) 525
D. 145 + c > 380; c > 235
16. A costume designer made 10 costumes that each used 5.8 yards of fabric. If she had 238.2 yards of fabric to start with, about how much fabric does the costume designer have left? Write an equation and estimate the amount of fabric left.
17. A costume went to a garden shop and bought some potting soil for $12.50 and 6 shrubs. If the total bill was $71.00, how much did each shrub cost if they all cost the same? Write and solve an equation.
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1. To find the value of 1.2(y + 1), substitute y = 2 into the expression:
1.2(2 + 1) = 1.2(3) = 3.6
So the answer is not listed among the options provided.
2. Substitute n = 52 into the expression 74 + 12n:
74 + 12(52) = 74 + 624 = 698
So the answer is option B.
3. The word phrase for p / 3 is "the quotient of a number and 3". So the answer is option C.
4. The algebraic expression for the number of points scored in n games at 10 points per game is 10n. So the answer is option A.
5. To solve the equation x - 16 = 14, add 16 to both sides:
x = 14 + 16 = 30
So the answer is option A.
6. Since Jake scored about twice as many points as Willie, we need to set up an equation where Jake's score (22) is twice the number of points Willie scored (n):
2n = 22
By dividing both sides by 2, we find:
n = 11
So the answer is option C.
7. To solve the equation -13x = -78, divide both sides by -13:
x = -78 / -13 = 6
So the answer is option A.
8. To solve the equation r/7 = -8, multiply both sides by 7:
r = -8 * 7 = -56
So the answer is option A.
9. To find the number of cards Kenny had originally, we need to set up an equation: b - 82 = 159. By adding 82 to both sides:
b = 159 + 82 = 241
So the answer is option B.
10. To solve the equation 3x + 14 = 23, subtract 14 from both sides:
3x = 23 - 14 = 9
Then, divide both sides by 3:
x = 9 / 3 = 3
So the answer is option A.
11. To find a solution to the inequality x > 4, any value greater than 4 is a valid solution. Thus, option A (8) is correct.
12. The inequality that models the situation "The number n of people who attended the game was at least 50" is n ≥ 50. So the answer is option A.
13. To find a solution to the inequality x + 18 < -3, subtract 18 from both sides:
x < -3 - 18 = -21
So the answer is option A.
14. To solve the inequality 4z > -60, divide by 4 on both sides:
z > -60 / 4 = -15
So the answer is option D.
15. To find the number of cans collected in the second week, use the inequality 145 + c > 380. By subtracting 145 from both sides:
c > 380 - 145 = 235
So the answer is option B.
16. The equation representing the amount of fabric left is 10 * 5.8 = 238.2 - x. By solving for x:
58 = 238.2 - x
x = 238.2 - 58 = 180.2
So the costume designer has about 180.2 yards of fabric left.
17. Let's say the cost of each shrub is x dollars. Then the equation representing the total cost is 6x + 12.50 = 71. Solving for x:
6x = 71 - 12.50 = 58.50
x = 58.50 / 6 = 9.75
Therefore, each shrub costs $9.75.